Finding the Third Proportional to 462,210 and 969,132

Step by Step Solution

1. Step 1: Write the proportion equation
   462,210 : 969,132 = 969,132 : x
2. Step 2: Convert to fraction form
   462,210/969,132 = 969,132/x
3. Step 3: Cross multiply
   462,210x = 969,132 × 969,132
4. Step 4: Simplify right side
   462,210x = 939,216,833,424
5. Step 5: Solve for x
   x = 939,216,833,424/462,210
6. Step 6: Final answer
   x = 2,032,013.23